Pith Number

pith:XSYYPKHY

pith:2010:XSYYPKHYHCZVM6HR2GNPKZNOIP

not attested not anchored not stored refs pending

Besov algebras on Lie groups of polynomial growth

Isabelle Gallagher (IMJ), Yannick Sire (LATP)

arxiv:1010.0154 v3 · 2010-10-01 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XSYYPKHYHCZVM6HR2GNPKZNOIP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:43:42.700144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcb187a8f838b35678f1d19af565ae43f713bbbc6ed2800ff4a8c5a1bc6731ff

Aliases

arxiv: 1010.0154 · arxiv_version: 1010.0154v3 · doi: 10.48550/arxiv.1010.0154 · pith_short_12: XSYYPKHYHCZV · pith_short_16: XSYYPKHYHCZVM6HR · pith_short_8: XSYYPKHY

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XSYYPKHYHCZVM6HR2GNPKZNOIP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: bcb187a8f838b35678f1d19af565ae43f713bbbc6ed2800ff4a8c5a1bc6731ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1e39a4b24d13c69335c6dd48c3f9371ff67781afce362b432a9e1f4151b80a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-01T13:23:38Z",
    "title_canon_sha256": "89b94be6fb2f049578949aa5c0b17bf59130e0cfd91b7067a754f5551ce2850d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0154",
    "kind": "arxiv",
    "version": 3
  }
}